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lorasvet [3.4K]
3 years ago
9

A searchlight rotates through one complete revolution every 4 seconds. How long does it take the light to rotate through 90 degr

ees? Help me set it up please
Mathematics
2 answers:
frez [133]3 years ago
6 0
1 full revolution=360
4seconds=360degrees
how many seconds is 90 degrees
4:360=x:90
4/360=x/90
simpllfiy
1/90=x/90
1=x

answer is 1 second
ziro4ka [17]3 years ago
3 0
The ratio of the angle that the light rotate to the time in seconds should be equal. One revolution is equal to 360 degrees. Let x be the time it would take to rotate 90 degrees,
                               360 degrees / 4 seconds = 90 degrees / x seconds
The value of x is 1. Therefore, it would take only 1 second to rotate 90 degrees. 
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Answer: about 66.6% that he will not pick a PB one


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3 years ago
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labwork [276]

Answer:

(d)0.6

Step-by-step explanation:

(a)Frequency Distribution

\left|\begin{array}{c|c}$Waiting Time(in Minutes)&$Frequency\\-----------&--\\0-4&4\\5-9&8\\10-14&5\\15-19&2\\20-24&1\\--&--\\Total&20\end{array}\right|

(b)The relative frequency distribution.

\left|\begin{array}{c|c}$Waiting Time(in Minutes)&$Relative Frequency\\-----------&--\\0-4&4/20=0.2\\5-9&8/20=0.4\\10-14&5/20=0.25\\15-19&2/20=0.1\\20-24&1/20=0.05\\--&--\\Total&1\end{array}\right|

(c)The cumulative frequency distribution.

\left|\begin{array}{c|c|c}$Waiting Time(in Minutes)&$Frequency&$Cumulative Frequency\\-----------&--&---\\0-4&4&4\\5-9&8&12\\10-14&5&17\\15-19&2&19\\20-24&1&20\\--&--&--\\Total&20\end{array}\right|

(d)The proportion of customers needing an oil change who wait 9 minutes or less.

Proportion of customers needing an oil change who wait 9 minutes or less.

=\dfrac{12}{20} \\\\=0.6

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3 years ago
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All inner angles must add to 180 degrees since it's a triangle.
70+70+x=180
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x=40

Final answer: D
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Step-by-step explanation:

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